A conflict will exist between the NPV and IRR methods,when used to evaluate two equally risky but mutually exclusive projects,if the projects' cost of capital is less than the rate at which the projects' NPV profiles cross.

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This is known as the "IRR paradox" or the "multiple IRR problem." It occurs when one project has a higher upfront cost and generates cash flows later in its life while the other project has a lower upfront cost and generates cash flows earlier. In this scenario, the IRR method may favor the project with the higher upfront cost, while the NPV method may favor the project with the lower upfront cost. When the cost of capital is less than the rate at which the projects' NPV profiles cross, the IRR method may produce multiple values, which can lead to conflicting results between the two methods.

A Conflict Will Exist Between the NPV and IRR Methods,when